Hussin, Véronique
- Honorary professor
-
Faculty of Arts and Science - Department of Mathematics and Statistics
André-Aisenstadt Office 5227
Courriels
Affiliations
- Membre Centre de recherches mathématiques
- Membre CRM Centre de recherches mathématiques
Research area
- Classical physics
- Supersymmetry
- Sigma models
- Solitons
- Coherent and squeezed states
- Anharmonic potential
- Quantum physics
Research projects Expand all Collapse all
Centre de recherches mathématiques (CRM) FRQNT/Fonds de recherche du Québec - Nature et technologies (FQRNT) / 2022 - 2029
Supersymétries et systèmes quantiques et classiques résolubles et intégrables CRSNG/Conseil de recherches en sciences naturelles et génie du Canada (CRSNG) / 2017 - 2023
FICM 2017-2018 Fondation de l'Institut de cardiologie de Montréal / 2017 - 2018
CENTRE DE RECHERCHES MATHEMATIQUES (CRM) FRQNT/Fonds de recherche du Québec - Nature et technologies (FQRNT) / 2015 - 2023
SUPERSYMMETRIC SOLVAVLE AND INTEGRABLE SYSTEMS IN QUANTUM AND CLASSICAL PHYSICS / 2011 - 2015
CENTRE DE RECHERCHES MATHEMATIQUES (CRM) FRQNT/Fonds de recherche du Québec - Nature et technologies (FQRNT) / 2008 - 2016
SUPERSYMMETRIC SOLVAVLE AND INTEGRABLE SYSTEMS IN QUANTUM AND CLASSICAL PHYSICS CRSNG/Conseil de recherches en sciences naturelles et génie du Canada (CRSNG) / 1994 - 2017
Selected publications Expand all Collapse all
Constant curvature holomorphic solutions of the supersymmetric G(2, 4) sigma model
A method for constructing squeezed states for the isotropic 2D harmonic oscillators
Point transformations: exact solutions of the quantum time-dependent mass nonstationary oscillator
Nonclassical States for Non-Hermitian Hamiltonians with the Oscillator Spectrum
Time-dependent rational extensions of the parametric oscillator: quantum invariants and the factorization method
Coherent states for the isotropic and anisotropic 2D harmonic oscillators
Infinite square-well, trigonometric Po ?schl-Teller and other potential wells with a moving barrier, Integrability, Supersymmetry and Coherent States
Squeezed atom laser for Bose-Einstein condensate with minimal length
Ladder operators and coherent states for multi-step supersymmetric rational extensions of the truncated oscillator
Classical ladder functions for Rosen-Morse and curved Kepler-Coulomb systems
Coherent states for the supersymmetric partners of the truncated oscillator
A squeezed review on coherent states and nonclassicality for non-Hermitian systems with minimal length
Non-classical behaviour of coherent states for systems constructed using exceptional orthogonal polynomials
Coherent states for ladder operators of general order related to exceptional orthogonal polynomials
Generalized squeezed states
Nonclassicality versus entanglement in a noncommutative space
Special Issue on Symmetries and Integrability of Difference Equations
Coherent states for supersymmetric partners of the infinite well
General solutions of the superymmetric $CP^2$ sigma model and its generalisation to $CP^(N-1)$
Higher Order Nonclassicality from Nonlinear Coherent States for Models with Quadratic Spectrum
Nonclassicality versus entanglement in a noncommutative space
Higher Order Nonclassicality from Nonlinear Coherent States for Models with Quadratic Spectrum
Noncommutative $q$-photon-added coherent states
Geometry of surfaces associated to grassmanian sigma models
Geometry of surfaces associated to grassmanian sigma models,
Supersymetric infinite wells and coherent states
Entangled squeezed states in noncommutative spaces with minimal length uncertainty relations
Supersymmetric infinite wells and coherent states,
Constant curvature solutions of Grassmannian sigma models: (1) Holomorphic solutions
Entanglement created with generalized squeezed coherent states through a beam splitter
Generalised and Gaussian Coherent States of the 1D and 2D Infinite Square Well Quantum Systems
Constant curvature surfaces of the Susy $CP^(N-1)$ model
Constant curvature solutions of Grassmannian sigma models: (2) Non-holomorphic solutions
New solution of the N = 2 Supersymmetric KdV equation via Hirota methods
Squeezed coherent states and the one-dimensional Morse quantum system
Soliton and similarity solutions of $\scr N=2,4$ supersymmetric equations
New solution of the N = 2 Supersymmetric KdV equation via Hirota methods
A convenient criterion under which $Z_2$-graded operators are hamiltonian
A convenient criterion under which $Z_2$-graded operators are hamiltonian
Generalised Heisenberg algebras, SUSYQM and degeneracies: Infinite well and Morse potential
Arbitres pour les revues: International Journal of Theoretical Physiscs, Journal of Physics A, Journal of Mathematical Physics, Physics Letters A, Computer Physics Communications, Canadian Journal of Physics.
Proceedings of the International Workshop ?Supersymmetric Quantum Mechanics and Spectral Design?
Proceedings of the 28th International Colloquium on Group Theoretical Methods in Physics
Generalised Heisenberg algebras, SUSYQM and degeneracies: Infinite well and Morse potential, Proceedings of the International Workshop ?Supersymmetric Quantum Mechanics and Spectral Design?
Canonical surfaces associated with projectors in Grassmannian sigma models
N=2 supersymmetric a=4 KDV Hierarchy derived via Gardner's deformation of Kaup-Boussinesq equation
$N=2$ supersymmetric $a=4$-Korteweg-de Vries hierarchy derived via Gardner's deformation of Kaup-Boussinesq equation
Hirota's virtual multisoliton solutions of $N=2$ supersymmetric Korteweg-de Vries equations
Virtual Hirota's Multi-soliton Solutions of N=2 Supersymmetric Korteweg-de Vries Equations
Generalized and Gaussian coherent states for the Morse potential
Quaternionic Kàhler manifolds, constrained instantons and the magic square. I
Coherent states for Hamiltonians generated by supersymmetry
Degenerate discrete energy spectra and associated coherent states
Outreach in Mathematics-Activities, Engagement and Reflection
$CP^(N-1)$ model and surfaces in $R^(N^2-1)$
Generalized Jaynes-Cummings Hamiltonians by shape-invariant hierarchies and their SUSY partners
Degeneracies in the energy spectrum of the Jaynes-Cummings Hamiltonian, Group Theoretical Methods in Physics: Proceedings of the XXV International Colloqium on Group Theoretical Methods in Physics
Ladder operators and coherent states for the Jaynes-Cummings model in the rotating-wave approximation
Invariant solutions of a supersymmetric fluid model
Special Issue dedicated to the subject of the International Conference on Progress in Supersymmetric Quantum Mechanics
Preface [International Conference on Progress in Supersymmetric Quantum Mechanics]
V., sh(2/2) superalgebra eigenstates and generalized supercoherent and supersqueezed statessupercoherent and supersqueezed states
The Jaynes-Cummings model and raising and lowering operators
Invariant vector fields and the prolongation method for supersymmetric quantum systems
Group-invariant solutions of relativistic and nonrelativistic models in field theory
General sets of coherent states and the Jaynes-Cummings model
Generalized coherent and squeezed states based on the $h(1)\oplus{\rm su}(2)$ algebra
Energies of the Jaynes-Cummings model in the squeeze-coherent states
Grassman-valued differential equations and a method of resolution, based on Lie supergroup theory
Generalized minimum uncertainty relation and a new class of super-squeezed states
Kinematical superalgebras
Higher-order SUSY, linearized nonlinear Heisenberg algebras and coherent states
Group invariant solutions for the $N=2$ super Korteweg-de-Vries equation
Classification of the quantum deformations of the superalgebra ${\rm gl}(1\vert 1)$
Supersolitonic Solutions for the N = 2 super - Kdv equation
A simple generation of exactly solvable anharmonic oscillators
Computation of Lie supersymmetries for the supersymmetric two bosons equations
Computation of Lie Supersymmetries for Grassmann-valued Differential Equations
GLie: a MAPLE program for Lie supersymmetries of Grassmann-valued differential equations
Fermionic and Bosonic Quantum Groups from R-Matrices
Oscillator quantum groups from R-matrix Method
Computations of Lie supersymmetries for Grassmann-valued Differential equations,